Estimating a skein module with 𝑆𝐿₂(ℂ) characters

Bullock, Doug

doi:10.1090/S0002-9939-97-03943-9

Estimating a skein module with $SL_2(\mathbb {C})$ characters
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by Doug Bullock PDF

Proc. Amer. Math. Soc. 125 (1997), 1835-1839 Request permission

Abstract:

We introduce a new technique for estimating the number of generators of the Kauffman bracket skein module of a three manifold; one which requires the construction of linear functionals on a simpler version of the module. Of particular interest is the use of representations of the fundamental group into $SL_2(\hspace {-.3pt}{\mathbb C}\hspace {.3pt})$ to generate the functionals.

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